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Finding the Fourth Proportional to 3,313.73, 4,969.96 and 973.84

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Solution

The fourth proportional to 3,313.73, 4,969.96 and 973.84 is: 1,460.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,313.73 : 4,969.96 = 973.84 : x
  2. Step 2: Convert to fraction form
    3,313.73/4,969.96 = 973.84/x
  3. Step 3: Cross multiply
    3,313.73x = 4,969.96 × 973.84
  4. Step 4: Simplify right side
    3,313.73x = 4,839,940.31
  5. Step 5: Solve for x
    x = 4,839,940.31/3,313.73
  6. Step 6: Final answer
    x = 1,460.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.